Structural Constraints on Physical Computation Under Noise: A Bridge Between Persistence, Computation, and Physics

This report articulates the relationship between a foundational structural ontology of persistence and a derived analysis of noise-robust computation, framing the result as a constraint-level principle relevant to physics. The work does not propose a physical model, derive physical laws, or introduce new dynamics. Instead, it identifies necessary structural constraints that must be satisfied by any physical system that both persists under perturbation and implements computation. These constraints include identity preservation within tolerance, bounded admissible continuation, irreversibility of structural history, and structured, non-erasing failure modes. The report serves as a formal bridge between two prior works:(1) Recursion, Constraint, and Persistence, which derives recursion, admissibility, collapse, and irreversibility from the minimal requirement of identity persistence under transformation; and(2) Viability of a Recursive Computation Substrate Under Full Noise, which proves necessary and sufficient conditions for computation to remain viable under bounded adversarial noise, independent of implementation. The present contribution is interpretive and restrictive rather than explanatory. It clarifies how the derived constraints function analogously to physical constraint principles—restricting what is possible without specifying how it is realized. Structural correspondences with thermodynamics, quantum error correction, and classical fault-tolerant computation are discussed, without claiming reduction or causal derivation. The framework is physically falsifiable: any physically realized system shown to preserve computational semantics under sustained noise while violating the stated constraints would constitute a counterexample. The report is intended for readers in theoretical physics, foundations of computation, and information theory interested in constraint-based analyses of physical realizability.